%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV389+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:47:33 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 30 ( 15 ~; 7 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 18 ( 15 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,lemma,
! [U,V,W] :
( ( ok(removemin_cpq_eff(triple(U,V,W)))
& check_cpq(removemin_cpq_eff(triple(U,V,W))) )
=> check_cpq(triple(U,V,W)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ ok(removemin_cpq_eff(triple(U,V,W)))
| ~ check_cpq(removemin_cpq_eff(triple(U,V,W))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ ok(removemin_cpq_eff(triple(U,V,W)))
| ~ check_cpq(removemin_cpq_eff(triple(U,V,W))) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f145,plain,
! [U,V,W] :
( check_cpq(triple(U,V,W))
| ~ ok(removemin_cpq_eff(triple(U,V,W)))
| ~ check_cpq(removemin_cpq_eff(triple(U,V,W))) ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f146,plain,
! [X0,X1,X2] :
( check_cpq(triple(X0,X1,X2))
| ~ ok(removemin_cpq_eff(triple(X0,X1,X2)))
| ~ check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
? [U,V,W] :
( ok(removemin_cpq_eff(triple(U,V,W)))
& check_cpq(removemin_cpq_eff(triple(U,V,W)))
& ~ check_cpq(triple(U,V,W)) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f148,plain,
( ok(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl)))
& check_cpq(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl)))
& ~ check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl),skolemize(W,sK2_skl)],[f147]) ).
fof(f149,plain,
~ check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
check_cpq(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl))),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f151,plain,
ok(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl))),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f156,plain,
( check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))
| ~ check_cpq(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl))) ),
inference(resolution,[status(thm)],[f146,f151]) ).
fof(f157,plain,
check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f156,f150]) ).
fof(f158,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f157,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV389+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 08:44:40 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.050702 seconds
% 0.09/0.42 % CPU time: 0.138074 seconds
% 0.09/0.42 % Total memory used: 87.029 MB
% 0.09/0.42 % Net memory used: 86.979 MB
%------------------------------------------------------------------------------